Altman、Krasnoselskii和Petryshyn定理的推广

利用不动点指数方法,本文借助于凸函数在内积空间中研究一类半闭1-集压缩算子方程解的存在性,获得了一些新的结果,推广Altman、Krasnoselskii和Petryshyn定理,并改进了相关文献中的结果.最后,我们给出主要结果的一个应用.     

核实数据下误差在反映变量的非线性半参数模型的降维估计

考虑响应变量带有一般测量误差的非线性半参数模型.在核实数据的帮助下,利用半参数降维技术构造未知参数和非参数函数的估计.在一定条件下证明未知参数估计的渐近正态性和非参数函数估计的最优收敛速度.通过数值模拟说明所提估计方法在有限样本下的有效性.     

BIFURCATIONS OF DEGENERATE SINGULAR POINT OF A PREDATOR-PREY SYSTEM WITH HOLLING-IV FUNCTIONAL RESPONSE

A predator-prey system with Holling-IV functional response is investigated. It is shown that the system has a positive equilibrium, which is a cusp of co-dimension 2 under certain conditions. When the parameters vary in a small neighborhood of the values of parameters, the model undergoes the Bogdanov-Takens bifurcation. Dif- ferent kinds of bifurcation phenomena are exhibited, which include the saddle-node bifurcation, the Hopf bifurcation and the homo-clinic bifurcation. Some computer simulations are presented to illustrate the conclusions.     

The defocusing energy-supercritical Hartree equation

In this paper,we study the global well-posedness and scattering problem for the energysupercritical Hartree equation iut+Δu.(|x|.γ.|u|2)u=0 with γ4 in dimension d γ.We prove that if the solution u is apriorily bounded in the critical Sobolev space,that is,u ∈Lt∞(I;Hxsc(Rd)) with sc:= γ/2.11,then u is global and scatters.The impetus to consider this problem stems from a series of recent works for the energy-supercritical nonlinear wave equation(NLW) and nonlinear Schrdinger equation(NLS).We utilize the strategy derived from concentration compactness ideas to show that the proof of the global well-posedness and scattering is reduced to disprove the existence of three scenarios:finite time blowup;soliton-like solution and low to high frequency cascade.Making use of the No-waste Duhamel formula,we deduce that the energy of the finite time blow-up solution is zero and so get a contradiction.Finally,we adopt the double Duhamel trick,the interaction Morawetz estimate and interpolation to kill the last two scenarios.     

Sufficient conditions for error bounds and linear regularity in Banach spaces

In this paper, we study error bounds for lower semicontinuous functions defined on Banach space and linear regularity for finitely many closed subset in Banach spaces. By using Clarke＇s subd- ifferentials and Ekeland variational principle, we establish several sufficient conditions ensuring error bounds and linear regularity in Banach spaces.     

Explicit Stationary Distribution of the （L, 1）-reflecting Random Walk on the Half Line

In this paper,we consider the（L,1） state-dependent reflecting random walk（RW） on the half line,which is an RW allowing jumps to the left at a maximal size L.For this model,we provide an explicit criterion for（positive） recurrence and an explicit expression for the stationary distribution.As an application,we prove the geometric tail asymptotic behavior of the stationary distribution under certain conditions.The main tool employed in the paper is the intrinsic branching structure within the（L,1）-random walk.     

珠算文化放光彩 珠心算教育谱新篇

正珠算心算界的朋友们、教师们:2013年对中国珠算来说,是不平凡的一年;2014年中国珠算又站在新的起点蓄势待发。在满怀喜悦与辞旧迎新之际,我谨代表中国珠算心算协会,向辛勤工作在各级珠算心算协会和珠心算教育战线上的同仁与教师们,向国内外所有热爱、关心和支持珠算心算事业发展的各界朋友们,致以新年的祝贺和诚挚的问候!祝大家在新的一年里:身体健康,工作顺利,阖家幸福,万事如意!     

破浪扬帆正当时——有感于中国珠算申遗成功

正"只有民族的,才是世界的。"中国珠算在2013年12月4日成功入选人类非物质文化遗产名录,这标志着具有中华民族深厚底蕴的珠算文化已经得到国际社会认可,同时也印证了珠算文化具有重要的现实价值,由此唤醒人们对珠算历史与文化的再认识、再思考,提醒我们要责无旁贷地对其加以保护、传承与发展,让中华民族这一特有的文化瑰宝更多地惠及人类、服务全球。     

让珠心算伴随孩子快乐成长——珠心算教育实验工作之感悟

正我校自2004年春季在学前大班开展珠心算实验以来,我一直承担此项实验任务,并担任第一线教学工作。通过近十年的教学与实践,我深深地感受到珠心算教育对提升儿童的综合素质有特殊的功效。一、一科教学、多科受益通过日常的观察、评估和与其他非实验班学生的对比,我总结出开展珠心算教学确实能够收到一科教学、多科受益的效果,在计算力、注意力、记忆力、想象力等诸多方面都明显高于没学过珠心算的学生。     

Generalized area operators on L^p（R^n）

We introduce the generalized area operators by using nonnegative measures defined on upper half-spaces R＋^n＋1. The characterization of the boundedness and compactness of the generalized area operator from LP（]Rn） to Lq（IRn） is investigated in terms of s-Carleson measures with 1 〈 p, q 〈 ＋∞. In the case of p = q = 1, the weak type estimate is also obtained.